Well, yes, it is possible to have dark circles under eyes because of allergies. And there are many factors which can lead to dark circles under the eyes, such as hereditary reasons and wheat allergies. For the allergies causes, you can just try some sesame oil, which can help you to reduce the dark circles under your eyes. According to some experts, sesame oil contains a lot of nutrients such as vitamin e which are good for the dark circles under eyes. Also, some Moisturizers containing sesame, avocado oil, Vitamin E and K, can be used to lessen the appearance of dark circles. By the way, you can use bleaching cream, which contains the active ingredient hydroquinone from a doctor's prescription. Anyway, you can just have a try.